81460730880 has 528 divisors, whose sum is σ = 298434913920. Its totient is φ = 20511719424.

The previous prime is 81460730867. The next prime is 81460730881. The reversal of 81460730880 is 8803706418.

81460730880 is a `hidden beast` number, since 8 + 1 + 4 + 607 + 30 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81460730881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62806392 + ... + 62807688.

It is an arithmetic number, because the mean of its divisors is an integer number (565217640).

Almost surely, 2^81460730880 is an apocalyptic number.

81460730880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81460730880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149217456960).

81460730880 is an abundant number, since it is smaller than the sum of its proper divisors (216974183040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

81460730880 is a wasteful number, since it uses less digits than its factorization.

81460730880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 81460730880 in words is "eighty-one billion, four hundred sixty million, seven hundred thirty thousand, eight hundred eighty".